45319561594560 has 2016 divisors, whose sum is σ = 184205192371200. Its totient is φ = 10479186432000.

The previous prime is 45319561594487. The next prime is 45319561594649. The reversal of 45319561594560 is 6549516591354.

45319561594560 is a `hidden beast` number, since 4 + 5 + 3 + 1 + 9 + 5 + 61 + 5 + 9 + 4 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 79368759075 + ... + 79368759645.

It is an arithmetic number, because the mean of its divisors is an integer number (91371623200).

Almost surely, 2^{45319561594560} is an apocalyptic number.

45319561594560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45319561594560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92102596185600).

45319561594560 is an abundant number, since it is smaller than the sum of its proper divisors (138885630776640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45319561594560 is a wasteful number, since it uses less digits than its factorization.

45319561594560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 87480000, while the sum is 63.

The spelling of 45319561594560 in words is "forty-five trillion, three hundred nineteen billion, five hundred sixty-one million, five hundred ninety-four thousand, five hundred sixty".